To determine which number from the set {6, 7, 8} makes the equation \( 54 \div x = 9 \) true, we solve for \( x \):
Starting with the equation: \[ 54 \div x = 9 \]
We can rewrite the equation as: \[ 54 = 9 \times x \]
Now, dividing both sides by 9: \[ x = \frac{54}{9} = 6 \]
Now we can check the values from the set {6, 7, 8}:
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For \( x = 6 \): \[ 54 \div 6 = 9 \quad \text{(true)} \]
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For \( x = 7 \): \[ 54 \div 7 \approx 7.71 \quad \text{(not true)} \]
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For \( x = 8 \): \[ 54 \div 8 = 6.75 \quad \text{(not true)} \]
Thus, the number from the set {6, 7, 8} that makes the equation \( 54 \div x = 9 \) true is \( \boxed{6} \).
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